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2 years ago

Point A is (5, 7).

Mathematics

1 answer:

spin [16.1K]2 years ago

5 0

The coordinate of point B is at (29, -15): Option C is correct.

The formula for calculating the midpoint of two points is expressed as:

$M(x, y) = {\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2}}$

Given the coordinate points

A is (5, 7).

B is (x, y).

M is (17, -4)

Substituting into the formula to get x and y

17 = 5+x/2

5+x = 34

x = 34 - 5

x = 29

Get the value of y. Similarly;

-4 = 7+y/2

-8 = 7+y

y = -8-7

y = -15

Hence the coordinate of point B is at (29, -15)

Learn more here: brainly.com/question/13989426

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Which expression shows a sum of three terms.

vladimir1956 [14]

Answer: B) 3+y+3

This can be simplified to y+6, but the current un-simplified expression has 3 terms.

======================================

Explanation:

Terms are separated by a plus sign. If you had something like 10x-5y, then you would write that as 10x+(-5y) showing that 10x and -5y are the two terms.

Choices A and C, xy and 6y respectively, have one term each. They are considered monomials. Mono = one, nomial = name.

Choice D is the product of the constant 3 and the binomial y+3. Binomials have two terms.

Only choice B has three terms, though we can simplify it down to two terms. I have a feeling your teacher doesn't want you to simplify it.

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3 years ago

If point C is not located between points A and B, then AC + CB= AB

Naddik [55]

The location AC + CB is mathematically given as

AC + CB= AB

This is further explained below.

<h3>What is the location AC + CB of AB ?</h3>

Because point C can be seen to be in between A and point B, the equation AC + CB must equal AB.

It is important to keep in mind that point C may be located in any part of the space between A and B; yet, the solution will still be considered to be AB in this scenario.

Again, AC + CB = AB.

In conclusion, By way of deduction: if point C is located between points A and B, then it follows that point C is situated on line AB conversely, if point C is not situated on line AB, then it cannot be located between points A and B. As a result, you are able to deduce that AB is a line and that point C is situated on it in the middle of points A and B.

Read more about location

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3 0

2 years ago

-5cos105°+5cos165° =??

almond37 [142]

Answer:

-3.53553390593

Step-by-step explanation:

5(cos165-cos105)=-3.53553390593

3 0

3 years ago

Please help, what is the value of x

marusya05 [52]

I think the answer is x=2 <span />

6 0

3 years ago

The rectangle below has an area of x2 + 11x + 28 square meters and a length of 2 + 7 meters.

Troyanec [42]

<h3><u>Question:</u></h3>

The rectangle below has an Área of x^2 + 11x + 28 square meters and a length of x+7 meters. What expression represents the width of the rectangle?

<h3><u>Answer:</u></h3>

The expression representing width of rectangle is (x + 4) meters

<h3><u>Solution:</u></h3>

Given that rectangle has an area x^2 + 11x + 28 square meters and a length of x + 7 meters

To find: width of the rectangle

<em><u>The area of rectangle is given as:</u></em>

$\text {Area of rectangle }=\text { length } \times \text { width }$

Here area = x^2 + 11x + 28 square meters

length = x + 7 meters

<em><u>Substituting the values in given formula,</u></em>

$\begin{array}{l}{\text { width }=\frac{x^{2}+11 x+28}{x+7}} \\\\ {\text { width }=\frac{x^{2}+4 x+7 x+28}{x+7}} \\\\ {\text { width }=\frac{x(x+4)+7(x+4)}{x+7}} \\\\ {\text { width }=\frac{(x+4)(x+7)}{x+7}}\end{array}$

Cancelling (x + 7) on numerator and denominator,

$\text { width }=(x+4)$

Thus expression representing width of rectangle is (x + 4) meters

3 0

3 years ago